Cryoablation is the clinical freezing of tissue for removal. This method has been used for decades to destroy benign tumors in the breast. Today, the same technology shows success as a nonsurgical alternative to lumpectomy. This 30-minute procedure, performed under local anesthesia at a doctor’s office or radiology suite, destroys the tumor while preserving the natural shape of the breast, explains Dr. April Speed of Just Breast, LLC.